Timeline for Norm of "tensoring" with the identity
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 30, 2017 at 9:07 | comment | added | Matthew Daws | @Mikael de la Salle Right, yes! That's a good observation. (So, as an example on $L^2(\mathbb R)$ this is absolutely fine, but I was hasty to claim it was immediately an example on $\ell^2(X)$ for some $X$). | |
| Aug 28, 2017 at 13:35 | comment | added | Mikael de la Salle | Matt, the choice of a basis does not induce an isomorphism from $L^2(\mathbb R;E)$ to $\ell^2(E)$, i.e. is not a regular isomorphism between $L^2$ and $\ell^2$. However, your example is correct because $L^2$ embeds "regularly" in an ultraproduct of $\ell^2$. | |
| Aug 9, 2017 at 11:12 | vote | accept | duh | ||
| Aug 9, 2017 at 10:30 | history | answered | Matthew Daws | CC BY-SA 3.0 |